AnswersPrecalculusConic Sections

Conic Sections Answers

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1
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Which image shows a plane slicing a cone to produce an ellipse?

A
[Image: 2 cones are stacked at their points. A horizontal ...]
Option A
B
[Image: 2 cones are stacked at their points. A plane goes ...]
Option B
C
[Image: 2 cones are stacked at their points. A plane goes ...]
Option C
D
[Image: 2 cones are stacked at their points. A plane goes ...]
Option D
2
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–7.875–8.1257.875✔ 8.125

A
–7.875
B
–8.125
C
7.875
D
✔ 8.125
3

(2, –8.125)(2, –7.875)✔ (2, 7.875)(2, 8.125)

A
(2, –8.125)
B
(2, –7.875)
C
✔ (2, 7.875)
D
(2, 8.125)
4

0.125✔ 0.528

A
0.125
B
✔ 0.5
C
2
D
8
7

Complete the statements to describe the graph that represents the equation (y – 8) = –2(x – 2)2.

Answers:
The vertex is .:(2, 8)
The directrix is y = .:8.125
The focus is .:(2, 7.875)
The focal width is .:0.5
8

✔ (2, 8)(2, –8)(–2, 8)(–2, –8)

A
✔ (2, 8)
B
(2, –8)
C
(–2, 8)
D
(–2, –8)
9

Which equation describes the circle?

A
(x – 4)2 + (y + 1)2 = 25
B
(x – 4)2 + (y + 1)2 = 5
C
(x + 4)2 + (y – 1)2 = 25
D
(x + 4)2 + (y – 1)2 = 5
13

Which graph represents the equation ?

Question illustration
A
[Image: On a coordinate plane, a circle has center (negati...]
Option A
B
[Image: On a coordinate plane, a circle has center (0.5, n...]
Option B
C
[Image: On a coordinate plane, a circle has center (0.5, n...]
Option C
D
[Image: On a coordinate plane, a circle has center (negati...]
Option D
14

Which equation has a center at (2, 1) and a point on the circle of (2, –3)?

A
(x + 2)2 + (y + 1)2 = 16
B
(x – 2)2 + (y – 1)2 = 4
C
(x – 2)2 + (y – 1)2 = 16
D
(x + 2)2 + (y + 1)2 = 4

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